1. In a 2-cup glass measuring cup, combine water and sugar; stir until sugar dissolves.
2. Add ice to reach ½ cup; stir until ice dissolves.
3. Add pineapple juice, lime juice and mint.
4. Pour into a pie plate; freeze for 1 hr.
5. Use a fork to scrape up forming ice crystals; return to freezer for 1 hr.
6. Scrape surface of the granita again with a fork; return to freezer until solid (1 hr. more).
7. Scrape again; scoop into 2 lowball glasses.
8. Garnish with mint; serve immediately.

Variation: For Piña Colada Granitas, stir ½ cup coconut rum into the liquid before freezing.